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Simplifying 9(5 + w) = 8(w + -3) (5 * 9 + w * 9) = 8(w + -3) (45 + 9w) = 8(w + -3) Reorder the terms: 45 + 9w = 8(-3 + w) 45 + 9w = (-3 * 8 + w * 8) 45 + 9w = (-24 + 8w) Solving 45 + 9w = -24 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 45 + 9w + -8w = -24 + 8w + -8w Combine like terms: 9w + -8w = 1w 45 + 1w = -24 + 8w + -8w Combine like terms: 8w + -8w = 0 45 + 1w = -24 + 0 45 + 1w = -24 Add '-45' to each side of the equation. 45 + -45 + 1w = -24 + -45 Combine like terms: 45 + -45 = 0 0 + 1w = -24 + -45 1w = -24 + -45 Combine like terms: -24 + -45 = -69 1w = -69 Divide each side by '1'. w = -69 Simplifying w = -69
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